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000485534 0247_ $$2arXiv$$aarXiv:2112.10827
000485534 0247_ $$2altmetric$$aaltmetric:119550852
000485534 037__ $$aPUBDB-2022-06689
000485534 041__ $$aEnglish
000485534 088__ $$2arXiv$$aarXiv:2112.10827
000485534 082__ $$a530
000485534 1001_ $$0P:(DE-H253)PIP1082101$$aBuric, Ilija$$b0
000485534 245__ $$aGaudin models and multipoint conformal blocks III: comb channel coordinates and OPE factorisation
000485534 260__ $$c2022
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000485534 500__ $$a41 pages, 7 figures
000485534 520__ $$aWe continue the exploration of multipoint scalar comb channel blocks for conformal field theories in 3D and 4D. The central goal here is to construct novel comb channel cross ratios that are well adapted to perform projections onto all intermediate primary fields. More concretely, our new set of cross ratios includes three for each intermediate mixed symmetry tensor exchange. These variables are designed such that the associated power series expansion coincides with the sum over descendants. The leading term of this expansion is argued to factorise into a product of lower point blocks. We establish this remarkable factorisation property by studying the limiting behaviour of the Gaudin Hamiltonians that are used to characterise multipoint conformal blocks. For six points we can map the eigenvalue equations for the limiting Gaudin differential operators to Casimir equations of spinning four-point blocks.
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000485534 536__ $$0G:(EU-Grant)764850$$aSAGEX - Scattering Amplitudes: from Geometry to Experiment (764850)$$c764850$$fH2020-MSCA-ITN-2017$$x1
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000485534 650_7 $$2INSPIRE$$aoperator: differential
000485534 650_7 $$2INSPIRE$$afield theory: conformal
000485534 650_7 $$2INSPIRE$$aconformal block
000485534 650_7 $$2INSPIRE$$afactorization
000485534 650_7 $$2INSPIRE$$aoperator product expansion
000485534 650_7 $$2INSPIRE$$aHamiltonian
000485534 650_7 $$2INSPIRE$$aGaudin model
000485534 650_7 $$2INSPIRE$$aCasimir
000485534 650_7 $$2autogen$$aScale and Conformal Symmetries
000485534 650_7 $$2autogen$$aDifferential and Algebraic Geometry
000485534 650_7 $$2autogen$$aIntegrable Hierarchies
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000485534 7001_ $$0P:(DE-H253)PIP1086325$$aLacroix, Sylvain$$b1
000485534 7001_ $$0P:(DE-H253)PIP1091224$$aMann, Jeremy A.$$b2
000485534 7001_ $$0P:(DE-H253)PIP1086632$$aQuintavalle, Lorenzo$$b3$$eCorresponding author$$udesy
000485534 7001_ $$0P:(DE-H253)PIP1004538$$aSchomerus, Volker$$b4
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000485534 9141_ $$y2022
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